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We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

We study string theory on singular Z_N quotients of AdS_3, corresponding to spaces with conical defects. The spectrum is computed using the orbifold procedure. It is shown that spectral flow may be used to generate the twisted sectors. We…

High Energy Physics - Theory · Physics 2007-05-23 John Son

We consider a class of ans\"atze for the construction of exact solutions of the Einstein-nonlinear $\sigma$-model system with an arbitrary cosmological constant in (3+1) dimensions. Exploiting a geometric interplay between the $SU(2)$ field…

General Relativity and Quantum Cosmology · Physics 2019-09-17 Alex Giacomini , Marcello Ortaggio

We consider minimal surfaces in three dimensional anti-de-Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and to SU(2)…

High Energy Physics - Theory · Physics 2009-11-23 Luis F. Alday , Juan Maldacena

We construct new finite energy regular solutions in Einstein-Yang-Mills-SU(2) theory. They are static, axially symmetric and approach at infinity the anti-de Sitter spacetime background. These configurations are characterized by a pair of…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

The sigma model describing closed strings rotating in AdS_3 x S^3 is known to reduce to the one-dimensional Neumann-Rosochatius integrable system. In this article we show that closed spinning strings in AdS_3 x S^3 x T^4 in the presence of…

High Energy Physics - Theory · Physics 2015-06-22 Rafael Hernandez , Juan Miguel Nieto

We construct large families of supergravity solutions that are asymptotic to AdS$_2$ and terminate with a cap that is singular in two dimensions but smooth in higher dimensions. These solutions break supersymmetry and conformal invariance.…

High Energy Physics - Theory · Physics 2023-08-09 Pierre Heidmann , Anthony Houppe

We find that the fundamental quadratic form of classical string propagation in $2+1$ dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de…

High Energy Physics - Theory · Physics 2009-10-30 A. L. Larsen , N. Sanchez

We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the expansion of the nonlinearity. All terms may be computed…

Analysis of PDEs · Mathematics 2017-09-25 Satyanad Kichenassamy

Inspired by the studies of gravitational waves in anti-de Sitter universe, in general relativity, in this paper we investigate the possibility of similar solutions in IIB string theory on $AdS_3 x S^3 x R^4$. We give a general form for such…

High Energy Physics - Theory · Physics 2010-04-05 Alok Kumar

We investigate half-BPS Type IIB supergravity solutions with spacetime geometry $AdS_2\times S^6$ warped over a Riemann surface $\Sigma$. The general local solution was obtained in earlier work in terms of two holomorphic functions…

High Energy Physics - Theory · Physics 2019-03-27 David Corbino , Eric D'Hoker , Justin Kaidi , Christoph F. Uhlemann

The AdS soliton is a nonsingular spacetime that has a flat conformal boundary with a compact $S^1$ direction. We find a horizonless cohomogeneity-1 metric that describes nonlinear gravitational oscillations of the AdS soliton in five…

High Energy Physics - Theory · Physics 2020-09-01 Markus Garbiso , Takaaki Ishii , Keiju Murata

In this paper we construct new exact solutions in Einstein-Gauss-Bonnet and Lovelock gravity, describing asymptotically flat black strings. The solutions exist also under the inclusion of a cosmological term in the action, and are supported…

High Energy Physics - Theory · Physics 2018-12-26 Adolfo Cisterna , Sebastian Fuenzalida , Marcela Lagos , Julio Oliva

We examine spherical p-branes in AdS_m x S^n, that wrap an S^p in either AdS_m (p=m-2) or S^n (p=n-2). We first construct a two-spin giant solution expanding in S^n and has spins both in AdS_m and S^n. For (m,n)={(5,5),(4,7),(7,4)}, it is…

High Energy Physics - Theory · Physics 2009-11-10 S. Arapoglu , N. S. Deger , A. Kaya , E. Sezgin , P. Sundell

In this paper we study the spectrum of bosonic string theory on AdS_3. We study classical solutions of the SL(2,R) WZW model, including solutions for long strings with non-zero winding number. We show that the model has a symmetry relating…

High Energy Physics - Theory · Physics 2009-09-17 Juan Maldacena , Hirosi Ooguri

In the string theory in AdS_4 \times CP^3 we construct the giant magnon and spike solutions with two spins in two kinds of subspaces of R_t \times CP^3 and derive the dispersion relations for them. For the single giant magnon solution in…

High Energy Physics - Theory · Physics 2011-07-19 Shijong Ryang

We construct infinite new classes of $AdS_4\times S^1\times S^5$ solutions of type IIB string theory which have non-trivial $SL(2,\mathbb{Z})$ monodromy along the $S^1$ direction. The solutions are supersymmetric and holographically dual,…

High Energy Physics - Theory · Physics 2023-01-11 Igal Arav , K. C. Matthew Cheung , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

This thesis is essentially organized in two parts: braneworlds and higher dimensional black objects with a cosmological constant. We present solitonic braneworld models where the brane are inflating and with the presence of a cosmological…

High Energy Physics - Theory · Physics 2010-08-11 Térence Delsate

In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We…

High Energy Physics - Theory · Physics 2022-07-27 Henry Maxfield , Zhencheng Wang

We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov , Thorsten Leonhardt , Werner Rühl
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